54540864 has 196 divisors, whose sum is σ = 186561984. Its totient is φ = 15489792.

The previous prime is 54540859. The next prime is 54540901. The reversal of 54540864 is 46804545.

54540864 is a `hidden beast` number, since 54 + 540 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326509 + ... + 326675.

Almost surely, 2^54540864 is an apocalyptic number.

54540864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93280992).

54540864 is an abundant number, since it is smaller than the sum of its proper divisors (132021120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54540864 is an equidigital number, since it uses as much as digits as its factorization.

54540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54540864 is about 7385.1786708244. The cubic root of 54540864 is about 379.2340619939.

The spelling of 54540864 in words is "fifty-four million, five hundred forty thousand, eight hundred sixty-four".